In the figure below, AB and PQ are two parallel chords of a circle with length 10 cm and 8 cm. If ON= 7 cm, find OM
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Answer:
The length of PQ is 7 cm.
Step-by-step explanation:
Given information: The radius of the circle is 5 cm. AB=8 cm and CD = 6 cm. OP⊥AB, OQ⊥CD.
From the below figure it is noticed that triangle AOP and COQ are right angled triangle.
Perpendicular from the center always a chord bisector.
Use Pythagoras theorem in triangle AOP,
The length of OP is 3 cm.
Use Pythagoras theorem in triangle COQ,
The length of OP is 3 cm.
The length of PQ is
Therefore the length of PQ is 7 cm.
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